Understanding Scientific Notation Concepts

The video tutorial explains scientific notation, a method of expressing numbers as a product of a number between 1 and 10 and a power of ten. It provides examples of correct and incorrect scientific notation, emphasizing the importance of the coefficient being between 1 and 10. The tutorial also covers converting small numbers into scientific notation by counting leading zeros and shifting decimals. It explains how multiplying by powers of ten affects the decimal position, making numbers larger or smaller. The tutorial concludes with a demonstration of solving for a number using scientific notation.

What is the purpose of using scientific notation?

• To express very large or very small numbers in a compact form.

• To avoid using decimal points.

• To convert numbers into fractions.

• To make numbers look more complex.

Which of the following is a correct example of scientific notation?

• 50 times 10 to the fifth

• 5 times 9 to the fifth

• 0.9 times 10 squared

• 5 times 10 to the sixth

What must the number being multiplied by a power of ten be in scientific notation?

• Greater than 10

• Less than 1

• Greater than or equal to 1 and less than 10

• Equal to 10

How many leading zeroes are there in the number 0.000000003457?

• 10

• 11

• 9

• 8

What is the scientific notation for the number 0.000000003457?

• 3.457 times 10 to the 9

• 3.457 times 10 to the negative 9

• 3.457 times 10 to the negative 10

• 3.457 times 10 to the 10

What happens to the decimal point when you multiply by a negative power of ten?

• It disappears.

• It shifts to the left.

• It remains unchanged.

• It shifts to the right.

If you multiply a number by 10 to the tenth power, what happens to the decimal point?

• It shifts 10 spaces to the left.

• It shifts 10 spaces to the right.

• It remains in the same position.

• It shifts 5 spaces to the right.

What is the result of multiplying 3.457 by 10 to the tenth?

• 0.000000003457

• 3457

• 3.457

• 34570000000

How do you solve for a number using scientific notation?

• Divide by 10 to the positive power.

• Multiply by 10 to the negative power.

• Multiply by 10 to the positive power.

• Add 10 to the power.

What is the equivalent of dividing by 10 to the tenth?

• Dividing by 10 to the negative tenth

• Adding 10 to the tenth

• Multiplying by 10 to the tenth

• Multiplying by 10 to the negative tenth